Titlebook: Structural Dynamics; Theory and Computati Mario Paz,Young Hoon Kim Textbook 2019Latest edition Springer Nature Switzerland AG 2019 Textbook

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Dynamic Analysis of Structures Using the Finite Element Methodtructures are described by a single coordinate along their longitudinal axis; that is, these are structures with unidirectional elements, called, “skeletal structures.” They, in general, consist of individual members or elements connected at points designated as “nodal points” or “joints.” For these

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Time History Response of Multi-Degree-of-Freedom Systemsof this method with a modification known as the Wilson-. method, for the solution of structures modeled as multidegree-of-freedom systems is developed in this chapter. The modification introduced in the method by Wilson et al. 1973 serves to assure the numerical stability of the solution process reg

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Forced Motion of Shear Buildingsat the normal modes may be used to transform the system of . into a set of . in which each equation contains only one dependent variable. Thus the . reduced the problem of finding the response of a multi-degree-of-freedom system to the determination of the response of single-degree-of-freedom systems.

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Dynamic Analysis of Grid Framesor normal to its plane, as a special case, is the immediate reduction of unknown nodal coordinates for an element of these special structures, hence a considerable reduction in the number of unknown displacements for the structural system.

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Nonlinear Structural Responseortional to the velocity. In addition, the mass in the model was always considered to be unchanging with time. As a consequence of these assumptions, the equation of motion for such a system resulted in a linear, second order ordinary differential equation with constant coefficients